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Algebra and Discrete Mathematics, 2005, Issue 1, Pages 30–46 (Mi adm287)  
RESEARCH ARTICLE

Realizations of affine Lie algebras

Vyacheslav Futorny

IME–USP, Caixa Postal 66281, Sao Paulo, CEP 05315–970, Brazil
Full-text PDF (283 kB)
Abstract: This is an expository paper on some realizations of affine Lie algebras and their representations in terms of differential operators. In particular we recall the classical construction of Wakimoto modules and its recent generalization – Intermediate Wakimoto modules [CF].
Keywords: Affine Lie algebra, free field, Verma module.
Received: 05.03.2005
Revised: 24.03.2005
Bibliographic databases:
Document Type: Article
MSC: 17B67
Language: English
Citation: Vyacheslav Futorny, “Realizations of affine Lie algebras”, Algebra Discrete Math., 2005, no. 1, 30–46
Citation in format AMSBIB
\Bibitem{Fut05}
\by Vyacheslav~Futorny
\paper Realizations of affine Lie algebras
\jour Algebra Discrete Math.
\yr 2005
\issue 1
\pages 30--46
\mathnet{http://mi.mathnet.ru/adm287}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2148818}
\zmath{https://zbmath.org/?q=an:1122.17017}
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